820647936 has 288 divisors, whose sum is σ = 2629383120. Its totient is φ = 254803968.

The previous prime is 820647929. The next prime is 820647937. The reversal of 820647936 is 639746028.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×820647936² = 1346926069722120192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 820647891 and 820647900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820647937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8460240 + ... + 8460336.

Almost surely, 2^820647936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820647936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314691560).

820647936 is an abundant number, since it is smaller than the sum of its proper divisors (1808735184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

820647936 is an equidigital number, since it uses as much as digits as its factorization.

820647936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 820647936 is about 28646.9533458621. The cubic root of 820647936 is about 936.2366265648.

It can be divided in two parts, 82064 and 7936, that added together give a square (90000 = 300²).

The spelling of 820647936 in words is "eight hundred twenty million, six hundred forty-seven thousand, nine hundred thirty-six".